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Finding the Fourth Proportional to 4,460.39, 6,690.64 and 2,120.64

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Solution

The fourth proportional to 4,460.39, 6,690.64 and 2,120.64 is: 3,180.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,460.39 : 6,690.64 = 2,120.64 : x
  2. Step 2: Convert to fraction form
    4,460.39/6,690.64 = 2,120.64/x
  3. Step 3: Cross multiply
    4,460.39x = 6,690.64 × 2,120.64
  4. Step 4: Simplify right side
    4,460.39x = 14,188,438.81
  5. Step 5: Solve for x
    x = 14,188,438.81/4,460.39
  6. Step 6: Final answer
    x = 3,180.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.